The Geometrical Theory of Proportion: A New Foundation for Mathematics
A detailed history of the geometrical theory of proportion, its development by Eudoxus, and its lasting impact on mathematics.
Ancient Greek Mathematics
A Foundational Theorem in Ancient Greek Mathematics
A foundational theorem in Ancient Greek mathematics, exploring its historical context, key terms and concepts, and mechanisms and processes.
The Independence of Geometry: A Study on the Development of Euclidean Geometry
Exploring the development of Euclidean geometry, its independence from arithmetic, and the impact of incommensurable lengths on the field.